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Finding the Fourth Proportional to 84.93, 126.71 and 74.80

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Solution

The fourth proportional to 84.93, 126.71 and 74.80 is: 111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.93 : 126.71 = 74.80 : x
  2. Step 2: Convert to fraction form
    84.93/126.71 = 74.80/x
  3. Step 3: Cross multiply
    84.93x = 126.71 × 74.80
  4. Step 4: Simplify right side
    84.93x = 9,477.91
  5. Step 5: Solve for x
    x = 9,477.91/84.93
  6. Step 6: Final answer
    x = 111.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.